LCM of 901, 268, 308, 332, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 268, 308, 332, 631 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 901, 268, 308, 332, 631. So, keep reading to learn more.
Given numbers are 901,268,308,332,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,268,308,332,631 is 973773074428.
Find LCM of 901,268,308,332,631 with Prime Factorization
| 2 | 901, 268, 308, 332, 631 |
| 2 | 901, 134, 154, 166, 631 |
| 901, 67, 77, 83, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 901 x 67 x 77 x 83 x 631 = 973773074428
Therefore, the lowest common multiple of 901,268,308,332,631 is 973773074428.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
901 x 268 x 308 x 332 x 631 = 15580369190848
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
901 : 1, 17, 53, 901
268 : 1, 2, 4, 67, 134, 268
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
332 : 1, 2, 4, 83, 166, 332
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,268,308,332,631, is 1.
Now, the common factors can be found like this.
901:17x 53
268:2x 2x 67
308:2x 2x 7x 11
332:2x 2x 83
631:631
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 15580369190848/(1x16)
LCM = 15580369190848/16
LCM = 973773074428
Thus, we can understand that the LCM of 901,268,308,332,631 is 973773074428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 901, 268, 308, 332, 631
1. What is the LCM of 901, 268, 308, 332, 631?
Answer: LCM of 901, 268, 308, 332, 631 is 973773074428.
2. How to calculate the LCM of 901, 268, 308, 332, 631?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 901, 268, 308, 332, 631.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.